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Simplifying 2(25x2 + 21) = 95x Reorder the terms: 2(21 + 25x2) = 95x (21 * 2 + 25x2 * 2) = 95x (42 + 50x2) = 95x Solving 42 + 50x2 = 95x Solving for variable 'x'. Reorder the terms: 42 + -95x + 50x2 = 95x + -95x Combine like terms: 95x + -95x = 0 42 + -95x + 50x2 = 0 Factor a trinomial. (7 + -10x)(6 + -5x) = 0Subproblem 1
Set the factor '(7 + -10x)' equal to zero and attempt to solve: Simplifying 7 + -10x = 0 Solving 7 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = 0 + -7 -10x = 0 + -7 Combine like terms: 0 + -7 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {0.7, 1.2}
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